Answered: The machine element shown is fabricated…

The machine element shown is fabricated from steel. Determine center of mass. ( The density of steel is 7850 kg/m3.) ว ง C 40 mm 40 mm -20 mm 20 mm- 80 mm 60 mm Z 40 mm

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter13: Nonlinear Optimization Models

Section: Chapter Questions

Problem 3P: Let S represent the amount of steel produced (in tons). Steel production is related to the amount of...

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Let S represent the amount of steel produced (in tons). Steel production is related to the amount of labor used (L) and the amount of capital used (C) by the following function: S=20L0.30C0.70. In this formula L represents the units of labor input and C the units of capital input. Each unit of labor costs 50, and each unit of capital costs 100. a. Formulate an optimization problem that will determine how much labor and capital are needed to produce 50,000 tons of steel at minimum cost. b. Solve the optimization problem you formulated in part (a). (Hint: When using Excel Solver, start with an initial L 0 and C 0.)
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Required Information [The following information applies to the questions displayed below.] Upstate Mechanical, Incorporated, has been producing two bearings, components T79 and B81, for use in production. Data regarding these two components follow. Machine hours required per unit Standard cost per unit: Direct material Direct labor Manufacturing overhead Variable* Fixedt Total T79 2.5 $ 2.25 4.00 2.00 3.75 $ 12.00 Maximum price 881 3.0 $ 3.75 4.50 2.25 4.50 $ 15.00 *Variable manufacturing overhead is applied on the basis of direct-labor hours. *Fixed manufacturing overhead is applied on the basis of machine hours. Upstate Mechanical's annual requirement for these components is 8,000 units of T79 and 11,000 units of B81. Recently. management decided to devote additional machine time to other product lines, leaving only 41,000 machine hours per year for producing the bearings. An outside company has offered to sell Upstate Mechanical its annual supply of bearings at prices of $11.25 for…